Find w(u(x)) u(x)=x^2+9 w(x) = square root of x+8

$u (x) = x^{2} + 9$ $w (x) = \sqrt{x + 8}$

Set up the composite result function.

$w (u (x))$

Evaluate $w (x^{2} + 9)$ by substituting in the value of $u$ into $w$ .

$w (x^{2} + 9) = \sqrt{(x^{2} + 9) + 8}$

Add $9$ and $8$ .

$w (x^{2} + 9) = \sqrt{x^{2} + 17}$